Finding the Third Proportional to 116,123 and 268,815
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Solution
The third proportional to 116,123 and 268,815 is: 622,284.17
Step by Step Solution
- Step 1: Write the proportion equation
116,123 : 268,815 = 268,815 : x - Step 2: Convert to fraction form
116,123/268,815 = 268,815/x - Step 3: Cross multiply
116,123x = 268,815 × 268,815 - Step 4: Simplify right side
116,123x = 72,261,504,225 - Step 5: Solve for x
x = 72,261,504,225/116,123 - Step 6: Final answer
x = 622,284.17
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Why These Related Problems?
These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.